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Results tagged with projective-geometry
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user 65
23
votes
11
answers
13k
views
What is the exact statement of "there are 27 lines on a cubic"?
I think there was a theorem, like
every cubic hypersurface in $\mathbb P^3$ has 27 lines on it.
What is the exact statement and details?
- 15.1k
3
votes
What is the Cayley projective plane?
See, e.g., Baez: http://math.ucr.edu/home/baez/octonions/node8.html or even better http://math.ucr.edu/home/baez/week173.html
- 15.1k
3
votes
Maps to projective space determined by a line bundle
Bundles that have many sections don't have a special name, but their slightly more useful special case goes under the name of very ample bundles.
Start from the beginning. Line bundles can be defined …
- 15.1k